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Question
Find the equation of a line passing through the point (2, 3) and having the x-intercept of 4 units.
Solution
The required line passes through A(2, 3).
Also, x-intercept = 4
So, the required line passes through B(4, 0).
Slope of AB = `(0 - 3)/(4 - 2) = (-3)/2 = m`
(x1, y1) = (4, 0)
Required equation of the line AB is given by
y – y1 = m(x – x1)
`y - 0 = (-3)/2 (x - 4)`
2y = −3x + 12
3x + 2y = 12
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